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Finding the Fourth Proportional to 505,215.61, 696,955.84 and 341,929.33

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Solution

The fourth proportional to 505,215.61, 696,955.84 and 341,929.33 is: 471,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,215.61 : 696,955.84 = 341,929.33 : x
  2. Step 2: Convert to fraction form
    505,215.61/696,955.84 = 341,929.33/x
  3. Step 3: Cross multiply
    505,215.61x = 696,955.84 × 341,929.33
  4. Step 4: Simplify right side
    505,215.61x = 238,309,643,410.79
  5. Step 5: Solve for x
    x = 238,309,643,410.79/505,215.61
  6. Step 6: Final answer
    x = 471,698.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.